The Batum I've seen play for france is about the same Batum I've seen for Portland. A very team-player, maybe too much, one that understands the game extremely well and plays very solid on both ends: A player that is capable of doing almost anything but is just not aggressive enough to be a star - that's just not his game.
He could be the best role-player ever but he's not the Parker or Novitzky type that have their teams built around them. He can be aggressive for stretches, when he's on a roll, and then disappear for two quarters, but still be able to do great damage the moment you sleep on him. That's Batum - if you give him an opening he will Definitely punish you but he's not the player to take the ball and create for himself no-matter-what like a Roy type of go-to-guy. He sees the game and takes what the defense gives him, he would almost Never take a bad shot or make a mistake. Being a team player, for better or worse, is the best way to summarize his game, of course mentioning his ability to do almost anything the team needs except for not-being (or being-more-than...) a team player.